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100022141604 = 223721130015153
BaseRepresentation
bin101110100100111001…
…0001100001010100100
3100120011201022020211010
41131021302030022210
53114321132012404
6113541033342220
710140433114200
oct1351162141244
9316151266733
10100022141604
1139467989450
1217475267970
139580292898
144babd85b00
152906160189
hex1749c8c2a4

100022141604 has 144 divisors (see below), whose sum is σ = 296325642816. Its totient is φ = 25966080000.

The previous prime is 100022141591. The next prime is 100022141629. The reversal of 100022141604 is 406141220001.

It is a happy number.

It is a super-2 number, since 2×1000221416042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19407892 + ... + 19413044.

It is an arithmetic number, because the mean of its divisors is an integer number (2057816964).

Almost surely, 2100022141604 is an apocalyptic number.

100022141604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022141604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162821408).

100022141604 is an abundant number, since it is smaller than the sum of its proper divisors (196303501212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100022141604 is a wasteful number, since it uses less digits than its factorization.

100022141604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8186 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100022141604 its reverse (406141220001), we get a palindrome (506163361605).

The spelling of 100022141604 in words is "one hundred billion, twenty-two million, one hundred forty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3001 3234 5153 6002 6468 9003 10306 12004 15459 18006 20612 21007 30918 33011 36012 36071 42014 56683 61836 63021 66022 72142 84028 99033 108213 113366 126042 132044 144284 147049 170049 198066 216426 226732 231077 252084 252497 294098 340098 396132 396781 432852 441147 462154 504994 588196 680196 693231 757491 793562 882294 924308 1009988 1190343 1386462 1514982 1587124 1617539 1764588 2380686 2772924 2777467 3029964 3235078 4761372 4852617 5554934 6470156 8332401 9705234 11109868 15464153 16664802 19410468 30928306 33329604 46392459 61856612 92784918 108249071 170105683 185569836 216498142 324747213 340211366 432996284 510317049 649494426 680422732 757743497 1020634098 1190739781 1298988852 1515486994 2041268196 2273230491 2381479562 3030973988 3572219343 4546460982 4762959124 7144438686 8335178467 9092921964 14288877372 16670356934 25005535401 33340713868 50011070802 100022141604